(-3,2)))))))))))))))))))))))))))))))))))
Answer:
The length of the rectangle is 9 inches.
The height of the rectangle is 11 inches.
Step-by-step explanation:
Given : The volume of a rectangular solid can be written as V=LWH, where L is the length of the solid, W is the width, and H is the height. A box of cereal has a width of 2 inches. It’s height is 2 inches longer than it’s length. If the volume of the box is 198 cubic inches.
To find : What are the length and height of the box ?
Solution :
The width of the box is L inches
The width of the box is W=2 inches
The height is 2 inches longer than it’s length i.e H=L+2
The volume of a rectangular solid is ![V=L\times W\times H](https://tex.z-dn.net/?f=V%3DL%5Ctimes%20W%5Ctimes%20H)
![198=L\times 2\times (L+2)](https://tex.z-dn.net/?f=198%3DL%5Ctimes%202%5Ctimes%20%28L%2B2%29)
![99=L^2+2L](https://tex.z-dn.net/?f=99%3DL%5E2%2B2L)
![L^2+2L-99=0](https://tex.z-dn.net/?f=L%5E2%2B2L-99%3D0)
![L^2+11L-9L-99=0](https://tex.z-dn.net/?f=L%5E2%2B11L-9L-99%3D0)
![L(L+11)-9(L+11)=0](https://tex.z-dn.net/?f=L%28L%2B11%29-9%28L%2B11%29%3D0)
![(L+11)(L-9)=0](https://tex.z-dn.net/?f=%28L%2B11%29%28L-9%29%3D0)
![L=-11,9](https://tex.z-dn.net/?f=L%3D-11%2C9)
Reject L=-11 as dimension cannot be negative.
The length of the rectangle is 9 inches.
The height of the rectangle is 11 inches.
Answer:
down below
Step-by-step explanation:
7/8:2 =0.4375
Answer:
![\large \boxed{\sf non \ linear, \ non \ linear, \ linear, \ linear}](https://tex.z-dn.net/?f=%5Clarge%20%5Cboxed%7B%5Csf%20non%20%5C%20linear%2C%20%5C%20non%20%5C%20linear%2C%20%5C%20linear%2C%20%5C%20linear%7D)
Step-by-step explanation:
Write the equations in the form y = mx + b
If the equation contains exponents then it is non-linear, if not then it is linear.
2xy = 3
This graph forms a curve so it is non-linear
y = 1x³ + 5
This equation is non-linear because it contains an exponent
y = x/3
y = 1/3x + 0
This equation is linear ( no exponent(s) )
2y = 1/2x
y = 1/4x + 0
This equation is linear ( no exponent(s) )
Matrix B has dimensions 4x3
Matrix C has dimensions 3x4
Write out those dimensions like so: 4x3 3x4
The inner '3's match up so B*C is possible. The dimensions of B*C is 4x4 as these are the outer dimensions when lining up 4x3 3x4
Since B*C is a square matrix, it is possible that an inverse could exist. Keep in mind that this isn't a guarantee as the determinant of B*C could be zero (which would lead to BC being non-invertible). Though of course we'd need more info.